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arxiv: 1209.0664 · v1 · pith:RRIBDEBJnew · submitted 2012-09-04 · 🧮 math.FA

Spectra of measures and wandering vectors

classification 🧮 math.FA
keywords measuresspectrawanderingambientappearcharacterizationcontinuousexistence
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We present a characterization of the sets that appear as Fourier spectra of measures in terms of the existence of a strongly continuous representation of the ambient group that has a wandering vector for the given set.

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